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(1) the set is an arithmetic progression (2) the first member is 10; the second is 12

What's a definition of arithmetic progression?
can it be that the numbers are simply n+2, producing:
10, 12, 14, 16, etc.
or, would n*1.2 also qualify, producing:
10, 12, 14.4, etc..

the answer to the second question determines the answer here

I have a question, perhaps, it may sound crazy. Does arthemetic progression always mean an addition. Can it not be any formulae. In that case,

Statement A - does not give much of an info on what type of arthemetic progression.
Statement B- also does not provide any information on how the other numbers wud be.

Hence E. Correct me, if my understading on the the arthemetic progression is wrong. _________________

Arithmetic Progression: Numbers in sequence that have a common difference.
Eg: 2, 4, 6, 8...
1, -3, -7, -10....
In general, a, a+d, a+2d, a+3d....

Geometric Progression: Numbers in sequence that have a common ratio.
Eg: 2, 4, 8, 16...
1, -3, 9, -27....
In general, a, ar, ar^2, ar^3....

Geometric Progression: Numbers in sequence that have a common reciprocal ratio (not sure of the term is correct)
Eg: 1/2, 1/4, 1/6, 1/8...
In general, 1/a, 1/a+d, 1/a+2d, 1/a+3d...

Arithmetic Progression: Numbers in sequence that have a common difference. Eg: 2, 4, 6, 8... 1, -3, -7, -10.... In general, a, a+d, a+2d, a+3d....

Geometric Progression: Numbers in sequence that have a common ratio. Eg: 2, 4, 8, 16... 1, -3, 9, -27.... In general, a, ar, ar^2, ar^3....

Geometric Progression: Numbers in sequence that have a common reciprocal ratio (not sure of the term is correct) Eg: 1/2, 1/4, 1/6, 1/8... In general, 1/a, 1/a+d, 1/a+2d, 1/a+3d...

that's exactly right. arithmetic progression always means common difference between the numbers in the set.